Rain falls vertically downward at 20 m/s. A man observes that the rain makes an angle 45° with the vertical. The man's horizontal speed is:
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Question

Rain falls vertically downward at 20 m/s. A man observes that the rain makes an angle 45° with the vertical. The man's horizontal speed is:

G1 Physics · Accepted Answer

For vertical rain, the apparent horizontal component equals the man's speed v M , v_M, v M ​ , while the vertical component remains 20 m/s. Hence tan45° = v M / 20. v_M/20. v M ​ /20. Therefore v M v_M v M ​ = 20 m/s. Option B is correct.